The decimal number 8.625 converts to the fraction 69/8.
To convert 8.625 to a fraction, we recognize it as a mixed decimal. First, we write 8.625 as (8 + 0.625). The decimal part, 0.625, can be expressed as a fraction by recognizing that 0.625 = 625/1000. Simplifying 625/1000 by dividing numerator and denominator by 125 gives 5/8. Therefore, 8.625 = 8 + 5/8. Converting 8 to a fraction with denominator 8, we get 64/8. Add this to 5/8, resulting in (64/8 + 5/8) = 69/8.
Conversion Tool
Result in fraction:
Conversion Formula
The conversion from decimal to fraction involves multiplying the decimal part by a power of 10 to clear the decimal places, then simplifying. For 8.625, the decimal part 0.625 is multiplied by 1000 to get 625. The numerator is 625, and the denominator is 1000. Simplify the fraction by dividing both by their greatest common divisor, which is 125, resulting in 5/8. Combining this with the whole number 8, convert 8 to 64/8 and add, resulting in 69/8.
Conversion Example
- Convert 3.375 to a fraction:
- Decimal part 0.375, multiply by 1000: 375/1000
- Simplify 375/1000 by dividing numerator and denominator by 125: 3/8
- Whole number 3 as 24/8
- Sum: 24/8 + 3/8 = 27/8
- Convert 5.5 to a fraction:
- Decimal 0.5, multiply by 10: 5/10
- Simplify 5/10 to 1/2
- Whole number 5 as 10/2
- Sum: 10/2 + 1/2 = 11/2
- Convert 2.125 to a fraction:
- Decimal 0.125, multiply by 1000: 125/1000
- Simplify 125/1000 by dividing by 125: 1/8
- Whole number 2 as 16/8
- Sum: 16/8 + 1/8 = 17/8
Conversion Chart
| Decimal | Fraction |
|---|---|
| -16.4 | -82/5 |
| -12.8 | -32/5 |
| -9.2 | -46/5 |
| -5.6 | -28/5 |
| -2.0 | -1 |
| 1.4 | 7/5 |
| 4.0 | 4 |
| 7.6 | 38/5 |
| 11.2 | 28/5 |
| 14.8 | 74/5 |
| 18.4 | 92/5 |
| 22.0 | 22 |
| 25.6 | 128/5 |
| 29.2 | 146/5 |
| 32.8 | 164/5 |
Use this chart to find approximate fractional equivalents for decimal values by matching the decimal to the nearest table value and reading the fraction.
Related Conversion Questions
- How can I convert 8.625 into a simplified fraction?
- What is the fractional form of the decimal 8.625?
- Can you show me step-by-step how to turn 8.625 into a fraction?
- What is 8.625 as an improper fraction?
- How do I convert decimal 8.625 to a fraction quickly?
- Is there a calculator to convert 8.625 into a fraction?
- What is the mixed number representation of 8.625?
Conversion Definitions
Converted
A number expressed in a different numerical form, often from decimal to fraction, to provide an exact representation of value, especially useful in measurements and calculations requiring precision or simplicity.
Fraction
A mathematical expression representing a part of a whole, written as numerator over denominator, which indicates how many parts of a certain size are being considered, used to precisely depict rational numbers.
Conversion FAQs
Can I convert 8.625 to a fraction without a calculator?
Yes, by recognizing the decimal as a mixed number, multiplying the decimal part by a power of 10, then simplifying. For 8.625, multiply 0.625 by 1000 to get 625, then divide numerator and denominator by 125 to simplify to 5/8 and add to 8.
Why is 8.625 equal to 69/8?
Because 8.625 equals 8 + 0.625. Converting 0.625 to a fraction gives 5/8. Converting 8 to a fraction with denominator 8 gives 64/8. Adding these gives (64/8 + 5/8) = 69/8, which is the improper fraction form.
How can I simplify fractions like 625/1000?
Find the greatest common divisor (GCD) of numerator and denominator, which for 625/1000 is 125. Divide both by 125, resulting in 5/8. Simplifying fractions helps to reduce them to their lowest terms for easier understanding or calculation.